The variation of potential energy U of a syst | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The relationship between force $F$ and potential energy $U$ is given by $F = -\frac{dU}{dx}$.This means the force is the negative of the slope of

Vedclass · Accepted Answer

Vedclass · Answer

(D) The relationship between force $F$ and potential energy $U$ is given by $F = -\frac{dU}{dx}$.This means the force is the negative of the slope of the $U-x$ graph.$1$. For the interval $0 ightarrow x_1$: The slope of the $U-x$ graph is positive and constant. Therefore, the force $F = -(	ext{positive constant})$ is negative and constant.$2$. For the interval $x_1 ightarrow x_2$: The potential energy $U$ is constant, so the slope is zero. Therefore, the force $F = 0$.$3$. For the interval $x_2 ightarrow x_3$: The slope of the $U-x$ graph is negative and constant. Therefore, the force $F = -(	ext{negative constant})$ is positive and constant.Comparing this with the given options, the graph in option $D$ correctly represents a negative constant force, followed by zero force, and then a positive constant force.

The variation of potential energy $U$ of a system is shown in the figure. The force acting on the system is best represented by:

Similar Questions

The work done by the force $\vec{F} = x^2 \hat{i} + y^2 \hat{j}$ around the closed path $OABC$ shown in the figure is:

What are conservative force,non-conservative force,conservative field,and non-conservative field?

The variation of force $F$ acting on a body moving along the $x$-axis with respect to its position $(x)$ is shown in the figure. The body is in a stable equilibrium state at:

The potential energy of a particle varies with distance $x$ as shown in the graph. Select the wrong statement.

If the potential energy for a particle is given by $U = K(x + y)$,where $K$ is a constant,what is the work done by the conservative force in moving a particle from $(1, 1)$ to $(2, 3)$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module